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523142046 = 232710738803
BaseRepresentation
bin11111001011101…
…000001110011110
31100110101100222100
4133023220032132
52032411021141
6123524425530
715651430320
oct3713501636
91313340870
10523142046
112493333a9
121272482a6
13844c870b
144d69b610
1530dda0b6
hex1f2e839e

523142046 has 48 divisors (see below), whose sum is σ = 1307539584. Its totient is φ = 148068432.

The previous prime is 523141961. The next prime is 523142051. The reversal of 523142046 is 640241325.

523142046 is a `hidden beast` number, since 5 + 231 + 420 + 4 + 6 = 666.

It is a super-2 number, since 2×5231420462 = 547355200586132232, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5920 + ... + 32883.

It is an arithmetic number, because the mean of its divisors is an integer number (27240408).

Almost surely, 2523142046 is an apocalyptic number.

523142046 is an abundant number, since it is smaller than the sum of its proper divisors (784397538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

523142046 is a wasteful number, since it uses less digits than its factorization.

523142046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38925 (or 38922 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 523142046 is about 22872.2986601697. The cubic root of 523142046 is about 805.7615549506.

The spelling of 523142046 in words is "five hundred twenty-three million, one hundred forty-two thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 6741 13482 38803 77606 116409 232818 271621 349227 543242 698454 814863 1629726 2444589 4151921 4889178 8303842 12455763 24911526 29063447 37367289 58126894 74734578 87190341 174380682 261571023 523142046